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Finding the Fourth Proportional to 107,838.78, 161,610.54 and 68,423.58

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Solution

The fourth proportional to 107,838.78, 161,610.54 and 68,423.58 is: 102,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838.78 : 161,610.54 = 68,423.58 : x
  2. Step 2: Convert to fraction form
    107,838.78/161,610.54 = 68,423.58/x
  3. Step 3: Cross multiply
    107,838.78x = 161,610.54 × 68,423.58
  4. Step 4: Simplify right side
    107,838.78x = 11,057,971,712.53
  5. Step 5: Solve for x
    x = 11,057,971,712.53/107,838.78
  6. Step 6: Final answer
    x = 102,541.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.